Gotowe bibliografie tematyczne / Endemic equilibrium point (EEP)

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Gotowa bibliografia na temat „Endemic equilibrium point (EEP)”

Autor: Grafiati

Data publikacji: 3 czerwca 2025

Data aktualizacji: 31 lipca 2025

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Artykuły w czasopismach na temat "Endemic equilibrium point (EEP)"

Peter, Cheruiyot Kibii, Kirui Wesley, Langat Reuben, and Tonui Benard. "Modelling the Effects of Vaccination and Incubation on Covid-19 Transmission Dynamics." Journal of Advances in Mathematics and Computer Science 40, no. 7 (2025): 1–12. https://doi.org/10.9734/jamcs/2025/v40i72017.

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The Severe Acute Respiratory Syndrome Coronavirus 2 (SARS-COV-2) is a strain of Coronavirus that causes Coronavirus Disease 2019 (COVID-19). The respiratory illness responsible for the COVID19 pandemic began in December 2019 in Wuhan city, China. Mathematical modeling has enabled the epidemiologist to understand the dynamics of the disease, its impact and future predictions in order to provide the governments with the best policies and strategies to curb the spread of the virus. Deterministic susceptible-vaccinated-asymptomatic-infectious-recovered (SVAIR) model was formulated incorporated wit

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Sulayman, Fatima, and Farah Aini Abdullah. "Dynamical Behaviour of a Modified Tuberculosis Model with Impact of Public Health Education and Hospital Treatment." Axioms 11, no. 12 (2022): 723. http://dx.doi.org/10.3390/axioms11120723.

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Tuberculosis (TB), caused by Mycobacterium tuberculosis is one of the treacherous infectious diseases of global concern. In this paper, we consider a deterministic model of TB infection with the public health education and hospital treatment impact. The effective reproductive number, Rph, that measures the potential spread of TB is presented by employing the next generation matrix approach. We investigate local and global stability of the TB-free equilibrium point, endemic equilibrium point, and sensitivity analysis. The analyses of the proposed model show that the model undergoes the phenomen

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Rotich, Titus, Robert Cheruiyot, Pauline Anupi, and Flomena Jeptanui. "Modeling metapopulation dynamics of HIV epidemic on a linear lattice with nearest neighbour coupling." International Journal of Applied Mathematical Research 5, no. 1 (2016): 73. http://dx.doi.org/10.14419/ijamr.v5i1.5544.

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<p>Many mathematical models for the spread of infectious diseases in a population assume homogeneous mixing, but due to spatial distribution, there exist distinct patches with unique disease dispersion dynamics, especially if between patch mixing due to travel and migration is limited. In this paper, three levels of disease status in a - patch metapopulation was studied using a simple SIR-HIV epidemic model in a one dimensional nearest neighbour coupling lattice. The basic reproductive ratio , which is a function of coupling strength , is shown to affect stability characteristics of equi

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A., L. M. Murwayi, Onyango T., and Owour B. "Mathematical Analysis of Plant Disease Dispersion Model that Incorporates wind Strength and Insect Vector at Equilibrium." British Journal of Mathematics & Computer Science 22, no. 5 (2017): 1–17. https://doi.org/10.9734/BJMCS/2017/33991.

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Numerous plant diseases caused by pathogens like bacteria, viruses, fungi protozoa and pathogenic nematodes are propagated through media such as water, wind and other intermediary carries called vectors, and are therefore referred to as vector borne plant diseases. Insect vector borne plant diseases are currently a major concern due to abundance of insects in the tropics which impacts negatively on food security, human health and world economies. Elimination or control of which can be achieved through understanding the process of propagation via Mathematical modeling. However existing models a

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Egonmwan, A. O., and D. Okuonghae. "Mathematical analysis of a tuberculosis model with imperfect vaccine." International Journal of Biomathematics 12, no. 07 (2019): 1950073. http://dx.doi.org/10.1142/s1793524519500736.

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Since 1921, the Bacille Calmette–Guerin (BCG) vaccine continues to be the most widely used vaccine for the prevention of Tuberculosis (TB). However, the immunity induced by BCG wanes out after some time making the vaccinated individual susceptible to TB infection. In this work, we formulate a mathematical model that incorporates the vaccination of newly born children and older susceptible individuals in the transmission dynamics of TB in a population, with a vaccine that can confer protection on older susceptible individuals. In the absence of disease-induced deaths, the model is shown to unde

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Utomo, Rukmono Budi, and Azizah Azizah. "MATHEMATICS MODEL SIRS-SI OF TRANSMISSION DENGUE VIRUS CONSIDERING FUMIGATION, VACCINATION AND TREATMEN IN CASE OF TANGERANG CITY." Indonesian Journal of Applied Mathematics 4, no. 2 (2025): 47. https://doi.org/10.35472/indojam.v4i2.1913.

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Abstract: In this paper, we construct a mathematical model SIRS-SI transmission dengue fever considering fumigation, vaccination and treatment in case Tangerang City. Background why this research has to do because in Tangerang City the case of dengue fever is pretty lot. Method in this research is using compartment model and create differential equation system. We also do some analyze the model like determining free disease equilibrium point and endemic equilibrium point. We also determining basic reproduction number and making analyze stability of the model around equilibrium points. We also

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Andrawus, J., F. Y. Eguda, I. G. Usman, et al. "A Mathematical Model of a Tuberculosis Transmission Dynamics Incorporating First and Second Line Treatment." Journal of Applied Sciences and Environmental Management 24, no. 5 (2020): 917–22. http://dx.doi.org/10.4314/jasem.v24i5.29.

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This paper presents a new mathematical model of a tuberculosis transmission dynamics incorporating first and second line treatment. We calculated a control reproduction number which plays a vital role in biomathematics. The model consists of two equilibrium points namely disease free equilibrium and endemic equilibrium point, it has been shown that the disease free equilibrium point was locally asymptotically stable if thecontrol reproduction number is less than one and also the endemic equilibrium point was locally asymptotically stable if the control reproduction number is greater than one.

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Ginting, Rini Sania br, and Yudi Ari Adi. "A mathematical model of meningitis with antibiotic effects." Bulletin of Applied Mathematics and Mathematics Education 3, no. 1 (2023): 1–14. http://dx.doi.org/10.12928/bamme.v3i1.9475.

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The mathematical model in this study is a SCIR-type meningitis disease spread model, namely susceptible (S), carrier (C), infected (I), and recovery (R). In the model used, there are two equilibrium points, namely the disease-free equilibrium point and the endemic equilibrium point. The conditions and stability of the equilibrium point are determined by the basic reproduction number, which is the value that determines whether or not the spread of meningitis infection in a population. The results of this study show that the stability of the disease-free equilibrium point and the endemic equilib

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Rois, Muhammad Abdurrahman, Mohamad Tafrikan, Yolanda Norasia, Indira Anggriani, and Mohammad Ghani. "SEIHR Model on Spread of COVID-19 and Its Simulation." Telematika 15, no. 2 (2022): 70–80. http://dx.doi.org/10.35671/telematika.v15i2.1141.

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The modified SEIR model of the COVID-19 spread is divided into five compartments: susceptible, exposed, infected, and recovered. Based on the results, two equilibrium points were obtained: the disease-free equilibrium point and the endemic equilibrium point. The existence of an equilibrium point depends on the value of the basic reproduction number R0, as well as on stability. The endemic equilibrium point exists if it is satisfied R0>1. Then, the disease-free equilibrium point is said to be locally asymptotic stable if R0<1, and the endemic equilibrium point is locally asymptotic stable

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Pagalay, Usman, Juhari, and Sindi Ayuna Hustani. "Dynamic Analysis of a Mathematical Model of the Anti-Tumor Immune Response." ITM Web of Conferences 58 (2024): 01008. http://dx.doi.org/10.1051/itmconf/20245801008.

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This study discusses the dynamic analysis, the Hopf bifurcation, and numerical simulations. The mathematical model of the anti-tumor immune response consists of three compartments namely Immature T Lymphocytes (L1), Mature T Lymphocytes (L2) and Tumor Cells (T). This research was conducted to represent the behavior between immune cells and tumor cells in the body with five γ conditions. Where γ is the intrinsic growth rate of mature T lymphocytes. This study produces R0 > 1 in conditions 1 to 4 while in condition 5 produces R0 < 1. The disease-free equilibrium point is stable only in con

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Części książek na temat "Endemic equilibrium point (EEP)"

Regassa Cheneke, Kumama. "Forward Bifurcation and Stability Analysis." In Bifurcation Theory and Applications [Working Title]. IntechOpen, 2023. http://dx.doi.org/10.5772/intechopen.112600.

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Bifurcation is an indispensable tool to describe the behavior of the system at steady states. Recently, the forward bifurcation showed the existence of both local and global stability of equilibrium points obtained from epidemiological models. It is known that the computing process to show the global stability of endemic equilibrium is tricky. But, in this chapter, we incorporate the principles that support the simplification of computation and give the exact existence of global stability of endemic equilibrium point. The most important issue is the application of forward bifurcation diagram o

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Streszczenia konferencji na temat "Endemic equilibrium point (EEP)"

Rand, Richard H., Erika T. Wirkus, and J. Robert Cooke. "Nonlinear Dynamics of the Bombardier Beetle." In ASME 1999 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/detc99/vib-8011.

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Abstract This work investigates the dynamics by which the bombardier beetle releases a pulsed jet of fluid as a defense mechanism. A mathematical model is proposed which takes the form of a pair of piece wise continuous differential equations with dependent variables as fluid pressure and quantity of reactant. The model is shown to exhibit an effective equilibrium point (EEP). Conditions for the existence, classification and stability of an EEP are derived and these are applied to the model of the bombardier beetle.

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